Question

Determine the x- and y-intercepts of the graph of y=−1/3x+3 .


Then plot the intercepts to graph the equation.

Answer 1

Answer:

x= 9

y = 3

Step-by-step explanation:

Given:

$y=-\frac{1}{3}x+3 .$

To Find:

x and y intercept

Solution:

The given equation is in the form of

y = mx+b where

m is the slope

Step 1: Finding the x intercept

To Find the x intercept substitute y = 0

$0=-\frac{1}{3}x+3$

$\frac{1}{3}x =3$

$1x =3 \times 3$

$x =9$

The coordinate will be(9,0)

Step 2: Finding the y intercept

To Find the y intercept substitute x = 0

$y=-\frac{1}{3}(0)+3$

$y = 3$

The coordinate will be(0,3)